pith. sign in

arxiv: 2410.21506 · v2 · submitted 2024-10-28 · 📡 eess.SP

Fast-Reconfiguring Liquid-Crystal RIS for Pervasive Wireless Networks

Pith reviewed 2026-05-23 18:28 UTC · model grok-4.3

classification 📡 eess.SP
keywords reconfigurable intelligent surfacesliquid crystalsphase reconfigurationmmWavewireless networksmolecular dynamicslow-power RIS
0
0 comments X

The pith

LiquiRIS cuts LC-RIS reconfiguration time by up to 71.61 percent by choosing phase transitions that respect liquid crystal molecule dynamics.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper introduces LiquiRIS as a configuration method for liquid-crystal reconfigurable intelligent surfaces. It works by building the known physical response times of LC molecules directly into the choice of which phase shifts to apply next. Standard methods ignore these dynamics and therefore spend extra time waiting for slow transitions. LiquiRIS avoids the slowest ones, producing measured reductions of up to 71.61 percent on a millimeter-wave prototype. The result is presented as a practical step toward using low-cost, low-power LC-RIS in real wireless networks.

Core claim

By explicitly incorporating the physical dynamics of LC molecules into the phase-shift configuration process, LiquiRIS intelligently selects phase transitions that minimize the overall reconfiguration time. As a result, LiquiRIS achieves up to 71.61 percent reduction in overall reconfiguration time compared to conventional schemes, significantly improving the feasibility of LC-RIS deployment. The proposed framework is further validated through experiments on a mmWave LC-RIS prototype.

What carries the argument

The phase-transition selector that ranks candidate shifts according to the modeled response time of the underlying LC molecules.

If this is right

  • LC-RIS can now support faster adaptation to changing channel conditions without semiconductor hardware.
  • Overall system latency for blockage mitigation and coverage extension drops in proportion to the reconfiguration savings.
  • Power consumption tied to repeated phase updates decreases because fewer total time slots are spent in transition.
  • The same surfaces become viable candidates for real-time beam tracking in mobile mmWave links.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The selection logic could be combined with predictive channel models to pre-compute transition sequences before a change is needed.
  • Similar dynamics-aware scheduling might apply to other slow-tunable surfaces such as those based on phase-change materials.
  • Hardware designers could use the same model to optimize electrode layouts that reduce the worst-case transition times.
  • Network simulators that currently treat RIS reconfiguration as a fixed delay could be updated with the variable times reported here.

Load-bearing premise

The mathematical model of how LC molecules rotate and settle under applied voltage correctly predicts the actual time each phase change will take on the physical hardware.

What would settle it

A side-by-side measurement on the same mmWave LC-RIS prototype showing that the LiquiRIS schedule produces no statistically significant reduction in observed reconfiguration time would falsify the central claim.

Figures

Figures reproduced from arXiv: 2410.21506 by Alejandro Jimenez Saez, Arash Asadi, Luis F. Abanto-Leon, Robin Neuder, Vahid Jamali, Waqar Ahmed.

Figure 1
Figure 1. Figure 1: a and Fig. 1b depict the time an LCS unit cell needs to change its phase from 0 ◦ to 360◦ (positive phase shift) and from 360◦ to 0 ◦ (negative phase shift), respectively. Particularly, a positive phase shift is achieved faster than a negative phase shift. For instance, it takes approximately 20 ms to transition from 0 ◦ to 320◦ whereas it takes about four times more, i.e., approximately 80 ms, to shift fr… view at source ↗
Figure 2
Figure 2. Figure 2: LC relative permittivity versus biasing voltage (left). Microstrip assembly depicting LC biasing in unbiased and fully biased states (right). voltage, Vsat. The maximum achievable phase shift scales with ∆ε = εr,∥ − εr,⊥. Response time. While the rotation of LC molecules from εr,⊥ towards εr,∥ is achieved by increasing the bias voltage, a different mechanism is required for the rotation from εr,∥ towards ε… view at source ↗
Figure 5
Figure 5. Figure 5: Measured beamsteering capabilities of LCS at 61GHz. The magnitude is normalized to the maximum re￾ceived signal of ≈ −45 dB. The noise floor is ≈ −59 dB. III-C1 Phase shifter characterization:The phase shifter design and characterization is crucial for the delay line ar￾chitecture. Hence, phase shifter designs have to be evaluated first in an electromagnetic simulation software, such as CST Studio Suite or… view at source ↗
Figure 6
Figure 6. Figure 6: Bistatic measurement setup for LIQUIRIS [PITH_FULL_IMAGE:figures/full_fig_p005_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Measured −6 dB bandwidth of LIQUIRIS for steer￾ing angles towards -30°, -20°, 20° and 30°. consumption reported in [20] at 10.5 GHz equals 0.33 mW per diode in an on-state. Hence, a PIN diode-based RIS with 106 elements where half of the diodes are on would therefore present a 165W, 330W or 495W power consumption to bias the PIN diodes in a 1-, 2-, and 3-bit configuration, respectively. IV. MINIMIZING RESP… view at source ↗
Figure 8
Figure 8. Figure 8: Overview of our system model. Thus, for each time instant tl , a beam xˆl for the LCS is to be designed. Assuming that the BS employs a directive antenna with gain GBS, the line-of-sight (LoS) channel between the BS and the LCS is given by g = ρ [PITH_FULL_IMAGE:figures/full_fig_p005_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Different approximate functions fitted to the col [PITH_FULL_IMAGE:figures/full_fig_p006_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Ground truth and approximate response time of a [PITH_FULL_IMAGE:figures/full_fig_p006_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: The response time incurred under LIQUIRIS￾SINGLEBEAM and LEGACY. Our proposed solution results in a much lower response time (by up to 65.5%) while maintaining the same beam pattern. know the resulting beam pattern, instead of averaged/peak power/SNR valued to provide a deeper insight on the impact of our proposal in real system performance; (ii) Response time. LIQUIRIS aims at reducing the response time … view at source ↗
Figure 12
Figure 12. Figure 12: The response time incurred under LIQUIRIS￾JOINTBEAM and LEGACY. Our proposed solution reduces the response time by up to 53.1% In Fig. 13a, we observe that both LIQUIRIS-SINGLEBEAM and LIQUIRIS-JOINTBEAM shape a beampattern very similar to that of LEGACY. In terms of response time, LIQUIRIS significantly outperforms LEGACY; see Fig. 13b. The response times also illustrate that LIQUIRIS consistently outper… view at source ↗
Figure 14
Figure 14. Figure 14: Response time as a function of the number of [PITH_FULL_IMAGE:figures/full_fig_p010_14.png] view at source ↗
Figure 16
Figure 16. Figure 16: We consider a single MT and employ LIQUIRIS￾SINGLEBEAM assuming that the AoA is βr = 45◦ and the AoD is βt = {91◦ , 92◦ , . . . , 179◦}. Due to specular reflection, the phases of the LCS (which are initially assumed to be zero) do not need any change when βt = 135◦ , and therefore, the response time incurred by LIQUIRIS-SINGLEBEAM is zero for this specific case. Furthermore, we note that our approach is r… view at source ↗
Figure 15
Figure 15. Figure 15: , we demonstrate the response times under LIQUIRIS￾SINGLEBEAM and the LEGACY method. The figure confirms that designing beams using LIQUIRIS-SINGLEBEAM gener￾ally results in much lower response times, on average 68.98% lower than LEGACY. The histograms in Fig. 15a and Fig. 15b show that LIQUIRIS-SINGLEBEAM exhibits a bounded re￾sponse time that does not exceed 41 ms, while the LEGACY method has a response… view at source ↗
read the original abstract

Reconfigurable intelligent surfaces (RISs) have emerged as a key technology for dynamically reshaping wireless propagation, enhancing coverage and mitigating blockages to enable more pervasive network connectivity. However, implementing RISs at high frequencies remains challenging due to the cost and power demands of semiconductor-based components. To address these critical limitations, liquid crystals (LCs) technology has been identified as a promising low-cost and low-power alternative, giving rise to LC-RIS. The central challenge of this technology, however, lies in its limited responsiveness, as the slow molecular dynamics of LCs lead to long phase-shift reconfiguration times that restrict practicality. This paper presents LiquiRIS, a novel framework that enables substantially faster phase shifting in LC-RIS. By explicitly incorporating the physical dynamics of LC molecules into the phase-shift configuration process, LiquiRIS intelligently selects phase transitions that minimize the overall reconfiguration time. As a result, LiquiRIS achieves up to $ 71.61 \% $ reduction in overall reconfiguration time compared to conventional schemes, significantly improving the feasibility of LC-RIS deployment. The proposed framework is further validated through experiments on a mmWave LC-RIS prototype.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 0 minor

Summary. The manuscript introduces LiquiRIS, a framework for liquid-crystal reconfigurable intelligent surfaces (LC-RIS) that explicitly incorporates the physical dynamics of LC molecules into the phase-shift configuration process to intelligently select transitions minimizing overall reconfiguration time. It claims this yields up to 71.61% reduction in reconfiguration time versus conventional schemes and reports validation via experiments on an mmWave LC-RIS prototype.

Significance. If the LC molecular dynamics model is shown to match prototype measurements with quantified error bounds and the 71.61% figure is robust to the reported operating conditions, the work would meaningfully advance LC-RIS practicality for mmWave networks by mitigating the slow-response limitation. The prototype experiment itself is a constructive element that supplies empirical grounding.

major comments (1)
  1. [Abstract] Abstract: the central claim of a 71.61% reconfiguration-time reduction rests on an LC-molecule dynamics model whose fidelity to the mmWave prototype is not quantified (no model-predicted vs. measured transition durations, no error bounds, no sensitivity to temperature/voltage/cell-thickness variation). This is load-bearing for the reported speedup.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the constructive feedback. We address the concern on model fidelity quantification below.

read point-by-point responses
  1. Referee: [Abstract] Abstract: the central claim of a 71.61% reconfiguration-time reduction rests on an LC-molecule dynamics model whose fidelity to the mmWave prototype is not quantified (no model-predicted vs. measured transition durations, no error bounds, no sensitivity to temperature/voltage/cell-thickness variation). This is load-bearing for the reported speedup.

    Authors: We agree that the abstract does not include explicit quantitative comparisons of model-predicted versus measured transition durations, error bounds, or sensitivity analysis. The 71.61% figure is obtained from direct prototype measurements of reconfiguration times under the proposed phase-selection policy. To strengthen the claim, the revised manuscript will add a new subsection (in Section IV or V) providing side-by-side model predictions versus measured transition times with error statistics, plus sensitivity results for temperature, voltage, and cell-thickness variations using the collected experimental data. This directly addresses the load-bearing aspect of the speedup claim. revision: yes

Circularity Check

0 steps flagged

No circularity: performance claim rests on external prototype validation

full rationale

The paper's central result is a measured 71.61% reconfiguration-time reduction on a mmWave LC-RIS prototype, obtained by using an LC-molecule dynamics model to select faster phase-transition sequences. No equations, fitted parameters, or self-citations are described that would make this reduction equivalent to its inputs by construction. The selection process and the reported speedup are independent of any internal fitting loop or renamed ansatz; the load-bearing evidence is the external hardware experiment. This is the most common honest non-finding.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Abstract provides insufficient detail to enumerate free parameters or invented entities; the central approach rests on an unstated but load-bearing model of LC dynamics.

axioms (1)
  • domain assumption Physical dynamics of LC molecules can be modeled sufficiently accurately to enable time-minimizing phase selection
    The framework explicitly incorporates these dynamics; without a reliable model the selection process cannot guarantee the claimed time reduction.

pith-pipeline@v0.9.0 · 5753 in / 1177 out tokens · 20476 ms · 2026-05-23T18:28:52.746200+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

43 extracted references · 43 canonical work pages

  1. [1]

    A novel 28 ghz phased array antenna for 5g mobile communications,

    L. Yezhen et al., “A novel 28 ghz phased array antenna for 5g mobile communications,”ZTE Communications, vol. 18, no. 3, pp. 20–25, 2020

  2. [2]

    Design and evaluation of reconfig- urable intelligent surfaces in real-world environment,

    G. Trichopoulos et al. , “Design and evaluation of reconfig- urable intelligent surfaces in real-world environment,” arXiv preprint arXiv:2109.07763, 2021

  3. [3]

    Reconfigurable intelligent surface-based wireless commu- nications: Antenna design, prototyping, and experimental results,

    L. Dai et al., “Reconfigurable intelligent surface-based wireless commu- nications: Antenna design, prototyping, and experimental results,” IEEE Access, vol. 8, pp. 45 913–45 923, 2020

  4. [4]

    Reconfigurable intelligent surface based rf sensing: Design, optimization, and implementation,

    J. Hu et al., “Reconfigurable intelligent surface based rf sensing: Design, optimization, and implementation,” IEEE Journal on Selected Areas in Communications, vol. 38, no. 11, pp. 2700–2716, 2020

  5. [5]

    A prototype of reconfigurable intelligent surface with continuous control of the reflection phase,

    R. Fara et al. , “A prototype of reconfigurable intelligent surface with continuous control of the reflection phase,” arXiv preprint arXiv:2105.11862, 2021

  6. [6]

    Rfocus: Beamforming using thousands of passive antennas,

    V . Arun and H. Balakrishnan, “Rfocus: Beamforming using thousands of passive antennas,” in USENIX NSDI, 2020

  7. [7]

    Scattermimo: Enabling virtual mimo with smart surfaces,

    M. Dunna et al. , “Scattermimo: Enabling virtual mimo with smart surfaces,” in ACM MobiCom, 2020

  8. [8]

    Designing, building, and characterizing RF switch-based reconfigurable intelligent surfaces,

    M. Rossanese, P. Mursia, A. Garcia-Saavedra, V . Sciancalepore, A. Asadi, and X. Costa-Perez, “Designing, building, and characterizing RF switch-based reconfigurable intelligent surfaces,” pp. 69–76, 2022

  9. [9]

    A recon- figurable intelligent surface at mmwave based on a binary phase tunable metasurface,

    J.-B. Gros, V . Popov, M. A. Odit, V . Lenets, and G. Lerosey, “A recon- figurable intelligent surface at mmwave based on a binary phase tunable metasurface,”IEEE Open Journal of the Communications Society, vol. 2, pp. 1055–1064, 2021

  10. [10]

    Enabling indoor mobile millimeter-wave networks based on smart reflect-arrays,

    X. Tan, Z. Sun, D. Koutsonikolas, and J. M. Jornet, “Enabling indoor mobile millimeter-wave networks based on smart reflect-arrays,” in IEEE INFOCOM 2018-IEEE Conference on Computer Communications. IEEE, 2018, pp. 270–278

  11. [11]

    High-accuracy reconfigurable intelligent surface using independently controllable methods,

    X. Zeng, Q. Hu, C. Mao, H. Yang, Q. Wu, J. Tang, X. L. Zhao, and X. Y . Zhang, “High-accuracy reconfigurable intelligent surface using independently controllable methods,” in 2021 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition (iWEM). IEEE, 2021, pp. 1–3

  12. [12]

    Reconfigurable intelligent surface-aided wireless communications: Adaptive beamforming and experimental validations,

    M. M. Amri, N. M. Tran, and K. W. Choi, “Reconfigurable intelligent surface-aided wireless communications: Adaptive beamforming and experimental validations,” IEEE Access , vol. 9, pp. 147 442–147 457, 2021

  13. [13]

    Ris-aided wireless communications: Prototyping, adaptive beamforming, and indoor/outdoor field trials,

    X. Pei, H. Yin, L. Tan, L. Cao, Z. Li, K. Wang, K. Zhang, and E. Bj¨ornson, “Ris-aided wireless communications: Prototyping, adaptive beamforming, and indoor/outdoor field trials,” IEEE Transactions on Communications, vol. 69, no. 12, pp. 8627–8640, 2021

  14. [14]

    Reconfigurable intelligent surface (RIS) in the sub- 6 GHz band: Design, implementation, and real-world demonstration,

    A. Araghi, M. Khalily, M. Safaei, A. Bagheri, V . Singh, F. Wang, and R. Tafazolli, “Reconfigurable intelligent surface (RIS) in the sub- 6 GHz band: Design, implementation, and real-world demonstration,” IEEE Access, vol. 10, pp. 2646–2655, 2022

  15. [15]

    Two-dimensional beam steering using an electrically tunable impedance surface,

    D. F. Sievenpiper, J. H. Schaffner, H. J. Song, R. Y . Loo, and G. Tang- onan, “Two-dimensional beam steering using an electrically tunable impedance surface,” IEEE Transactions on antennas and propagation , vol. 51, no. 10, pp. 2713–2722, 2003. 13

  16. [16]

    Terahertz beam steering using a mems-based reflectarray configured by a genetic algorithm,

    X. Liu, L. Schmitt, B. Sievert, J. Lipka, C. Geng, K. Kolpatzeck, D. Erni, A. Rennings, J. C. Balzer, M. Hoffmann et al., “Terahertz beam steering using a mems-based reflectarray configured by a genetic algorithm,” IEEE Access, vol. 10, pp. 84 458–84 472, 2022

  17. [17]

    Fundamentals of Liquid Crystal Devices

    D.-K. Yang and S.-T. Wu, “Fundamentals of Liquid Crystal Devices.” Wiley, 2006, ch. 8. [Online]. Available: https://www.wiley.com/en-us/ Fundamentals+of+Liquid+Crystal+Devices-p-9780470032022

  18. [18]

    Architecture for sub-100 ms liquid crystal reconfigurable intelligent surface based on defected delay lines,

    R. Neuder, M. Sp ¨ath, M. Sch ¨ußler, and A. Jim ´enez-S´aez, “Architecture for sub-100 ms liquid crystal reconfigurable intelligent surface based on defected delay lines,” Communications Engineering, vol. 3, no. 1, p. 70, 2024

  19. [19]

    Reconfigurable intelligent surfaces with liquid crystal technology: A hardware design and communication perspective,

    A. Jim ´enez-S´aez, A. Asadi, R. Neuder, M. Delbari, and V . Jamali, “Reconfigurable intelligent surfaces with liquid crystal technology: A hardware design and communication perspective,” arXiv preprint arXiv:2308.03065, 2023

  20. [20]

    Wireless communications with reconfigurable intelligent surface: Path loss modeling and experimental measurement,

    W. Tang, M. Z. Chen, X. Chen, J. Y . Dai, Y . Han, M. Di Renzo, Y . Zeng, S. Jin, Q. Cheng, and T. J. Cui, “Wireless communications with reconfigurable intelligent surface: Path loss modeling and experimental measurement,” IEEE Transactions on Wireless Communications, vol. 20, no. 1, pp. 421–439, 2021

  21. [21]

    Resource allocation for multi-user downlink URLLC-OFDMA systems,

    W. R. Ghanem, V . Jamali, Y . Sun, and R. Schober, “Resource allocation for multi-user downlink URLLC-OFDMA systems,” in IEEE Interna- tional Conference on Communications Workshops (ICC Workshops) , 2019, pp. 1–6

  22. [22]

    Review paper on hardware of reconfigurable intelligent surfaces,

    B. Rana, S.-S. Cho, and I.-P. Hong, “Review paper on hardware of reconfigurable intelligent surfaces,” IEEE Access, 2023

  23. [23]

    Computer vision-aided reconfigurable intelligent surface-based beam tracking: prototyping and experimental results,

    M. Ouyang, F. Gao, Y . Wang, S. Zhang, P. Li, and J. Ren, “Computer vision-aided reconfigurable intelligent surface-based beam tracking: prototyping and experimental results,” IEEE Transactions on Wireless Communications, 2023

  24. [24]

    Design and evaluation of reconfigurable intelligent surfaces in real- world environment,

    G. C. Trichopoulos, P. Theofanopoulos, B. Kashyap, A. Shekhawat, A. Modi, T. Osman, S. Kumar, A. Sengar, A. Chang, and A. Alkhateeb, “Design and evaluation of reconfigurable intelligent surfaces in real- world environment,”IEEE Open Journal of the Communications Society, vol. 3, pp. 462–474, 2022

  25. [25]

    An improved path- loss model for reconfigurable-intelligent-surface-aided wireless com- munications and experimental validation,

    J. Jeong, J. H. Oh, S. Y . Lee, Y . Park, and S.-H. Wi, “An improved path- loss model for reconfigurable-intelligent-surface-aided wireless com- munications and experimental validation,” IEEE Access , vol. 10, pp. 98 065–98 078, 2022

  26. [26]

    A 2-bit tunable unit cell for 6G reconfigurable intelligent surface application,

    L. G. da Silva, P. Xiao, and A. Cerqueira, “A 2-bit tunable unit cell for 6G reconfigurable intelligent surface application,” in 2022 16th European Conference on Antennas and Propagation (EuCAP) . IEEE, 2022, pp. 1–5

  27. [27]

    Recent advances in MEMS metasurfaces and their applications on tunable lens,

    S. He, H. Yang, Y . Jiang, W. Deng, and W. Zhu, “Recent advances in MEMS metasurfaces and their applications on tunable lens,” Microma- chines, vol. 10, no. 8, p. 505, 2019

  28. [28]

    Digital coding metasurfaces: From theory to applications

    Q. Ma, Q. Xiao, Q. R. Hong, X. Gao, V . Galdi, and T. J. Cui, “Digital coding metasurfaces: From theory to applications.” IEEE Antennas and Propagation Magazine, vol. 64, no. 4, pp. 96–109, 2022

  29. [29]

    Liquid crystal programmable metasurface for terahertz beam steering,

    J. Wu, Z. Shen, S. Ge, B. Chen, Z. Shen, T. Wang, C. Zhang, W. Hu, K. Fan, W. Padilla et al., “Liquid crystal programmable metasurface for terahertz beam steering,” Applied physics letters , vol. 116, no. 13, p. 131104, 2020

  30. [30]

    Flexible terahertz beam manipulations based on liquid- crystal-integrated programmable metasurfaces,

    X. Fu, L. Shi, J. Yang, Y . Fu, C. Liu, J. W. Wu, F. Yang, L. Bao, and T. J. Cui, “Flexible terahertz beam manipulations based on liquid- crystal-integrated programmable metasurfaces,” ACS Applied Materials & Interfaces, 2022

  31. [31]

    Compact liquid crystal-based defective ground structure phase shifter for reconfigurable intelligent surfaces,

    R. Neuder, D. Wang, R. Jakoby, and A. Jim ´enez-S´aez, “Compact liquid crystal-based defective ground structure phase shifter for reconfigurable intelligent surfaces,” in European Conf. Antennas and Propagation (EuCAP), Mar. 2023, pp. 1–5

  32. [32]

    Robust max-min fairness transmission design for IRS-aided wireless network considering user location uncertainty,

    T. Ji, M. Hua, C. Li, Y . Huang, and L. Yang, “Robust max-min fairness transmission design for IRS-aided wireless network considering user location uncertainty,” IEEE Transactions on Communications , vol. 71, no. 8, pp. 4678–4693, 2023

  33. [33]

    Max-min fairness in IRS-aided multi-cell MISO systems with joint transmit and reflective beamforming,

    H. Xie, J. Xu, and Y .-F. Liu, “Max-min fairness in IRS-aided multi-cell MISO systems with joint transmit and reflective beamforming,” IEEE Transactions on Wireless Communications , vol. 20, no. 2, pp. 1379– 1393, 2021

  34. [34]

    Rate- fairness-aware low resolution RIS-aided multi-user OFDM beamform- ing,

    H. Yu, H. D. Tuan, A. A. Nasir, E. Dutkiewicz, and L. Hanzo, “Rate- fairness-aware low resolution RIS-aided multi-user OFDM beamform- ing,” IEEE Transactions on Vehicular Technology , vol. 73, no. 2, pp. 2401–2415, 2024

  35. [35]

    Weighted sum-rate of intelligent reflecting surface aided multiuser downlink transmission with statistical CSI,

    Q. Tao, S. Zhang, C. Zhong, W. Xu, H. Lin, and Z. Zhang, “Weighted sum-rate of intelligent reflecting surface aided multiuser downlink transmission with statistical CSI,” IEEE Transactions on Wireless Com- munications, vol. 21, no. 7, pp. 4925–4937, 2022

  36. [36]

    Weighted sum-rate maximization for multi-IRS aided cooperative transmission,

    Z. Li, M. Hua, Q. Wang, and Q. Song, “Weighted sum-rate maximization for multi-IRS aided cooperative transmission,” IEEE Wireless Commu- nications Letters, vol. 9, no. 10, pp. 1620–1624, 2020

  37. [37]

    Weighted sum-rate maximization in multi-IRS-aided multi-cell mmWave communication systems for suppressing ICI,

    Y . Song, S. Xu, G. Sun, and B. Ai, “Weighted sum-rate maximization in multi-IRS-aided multi-cell mmWave communication systems for suppressing ICI,” IEEE Transactions on Vehicular Technology, vol. 72, no. 8, pp. 10 234–10 250, 2023

  38. [38]

    Reconfigurable intelligent surfaces for energy efficiency in wireless communication,

    C. Huang, A. Zappone, G. C. Alexandropoulos, M. Debbah, and C. Yuen, “Reconfigurable intelligent surfaces for energy efficiency in wireless communication,” IEEE Transactions on Wireless Communica- tions, vol. 18, no. 8, pp. 4157–4170, 2019

  39. [39]

    Resource allocation for an IRS-assisted dual-functional radar and communication system: Energy efficiency maximization,

    W. Zhong, Z. Yu, Y . Wu, F. Zhou, Q. Wu, and N. Al-Dhahir, “Resource allocation for an IRS-assisted dual-functional radar and communication system: Energy efficiency maximization,” IEEE Transactions on Green Communications and Networking , vol. 7, no. 1, pp. 469–482, 2023

  40. [40]

    Energy efficiency maximization in RIS-aided cell-free network with limited backhaul,

    Q. N. Le, V .-D. Nguyen, O. A. Dobre, and R. Zhao, “Energy efficiency maximization in RIS-aided cell-free network with limited backhaul,” IEEE Communications Letters , vol. 25, no. 6, pp. 1974–1978, 2021

  41. [41]

    Simultaneously transmitting and reflecting (STAR) RIS aided wireless communications,

    X. Mu, Y . Liu, L. Guo, J. Lin, and R. Schober, “Simultaneously transmitting and reflecting (STAR) RIS aided wireless communications,” IEEE Transactions on Wireless Communications , vol. 21, no. 5, pp. 3083–3098, 2022

  42. [42]

    Queueing aware power minimization for wireless communication aided by double-faced active RIS,

    Y . Zhou, Y . Liu, Q. Wu, Q. Shi, J. Zhao, and Y . Zhao, “Queueing aware power minimization for wireless communication aided by double-faced active RIS,” IEEE Transactions on Communications, vol. 71, no. 10, pp. 5799–5813, 2023

  43. [43]

    Transmit power minimization for STAR-RIS aided FD-NOMA networks,

    Q. Wang, X. Pang, C. Wu, L. Xu, N. Zhao, and F. R. Yu, “Transmit power minimization for STAR-RIS aided FD-NOMA networks,” IEEE Transactions on Vehicular Technology , vol. 73, no. 3, pp. 4389–4394, 2024